Solve the following systems by Elimination
1) 4x+6y=32
3x-6y=3
2) -3+5y=-11
3x+7y=-1
Answer:
The solutions for both system of equations are as follows:
(5,2)(2,-1)Step-by-step explanation:
The first set of equations is:
[tex]4x+6y=32\\3x-6y=3\\[/tex]
It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get
[tex]4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5[/tex]
Putting x=5 in equation 1
[tex]4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2[/tex]
The solution is (5,2)
The second set of simultaneous equations is:
[tex]-3x+5y=-113x+7y=-1[/tex]
We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations
[tex]-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1[/tex]
Putting y= -1 in first equation
[tex]-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2[/tex]
The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
(5,2)(2,-1)Help please!!!!!!!! I need help with this ASAP!
9514 1404 393
Answer:
2.89 m
Step-by-step explanation:
The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.
The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...
Sin = Opposite/Hypotenuse
sin(12°) = (0.6 m)/(PR)
PR = (0.6 m)/sin(12°) ≈ 2.886 m
PR ≈ 2.89 m
The distance to the subject is about 2.89 meters.
x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.
Answer:
The correct option is C) Yes; the change in x is constant and the change in y is constant.
Step-by-step explanation:
Consider the table shown.
x y
0 8
1 1
2 -6
3 -13
Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.
Consider the change in x coordinate.
1-0=1, 2-1=1 and 3-2=1
Now consider the change in y coordinate.
1-8=-7, -6-1=-7 and -13-(-6)=-13+6=-7
Since the change in x and y is constant the given relationship is linear.
Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.
19/10 equals x - 23/6
Please help me quickly!!!
Answer:
7 17/60
Step-by-step explanation:
you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover
Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.
Answer: one hosta = $5
One shrub = $8.
Step-by-step explanation:
Let the cost of one hosta be h
Let the cost of one shrub be s
Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:
8h + 5s = 80 ..... i
Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:
9h + 5s = 85 ..... ii
8h + 5s = 80 ..... i
9h + 5s = 85 ..... ii
Subtract i from ii.
h = 5
The cost of one hosta is $5
Since 8h + 5s = 80
8(5) + 5s = 80
40 + 5s = 80
5s = 80 - 40
5s = 40
s = 40/5 = 8
One shrub cost $8.
what is in math solve the following equation 35x-7y=49
Answer:
There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.
You could however use them as a description of a line, which gives every possible solution.
35x - 7y = 49
7y = 35x - 49
y = 5x - 7
We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)
Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23
Determine whether each statement about the equations is true or false
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
a + 9 = 23
a = 14
3b + 9 = 23
3b = 14
b = 14/3
6c + 9 = 23
6c = 14
c = 14/6 = 7/3
Statement 1: 3a = 14 x 3 = 42, which is not equal to b.
Statement 2: 7/3 is less than 14.
Statement 3: 2c = 7/3 x 2 = 14/3 = b.
Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.
Can someone pls help me with these two
-11 + x = 7x - 5. PLEASE HELPP WHAT DISE X EQUAL
Answer:
x= -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Brainly plss?
Answer:
x=-1
use math papa calculator it helps :)
2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson's weight after
m months.
b. After how many months will Mr. Thompson reach his goal
weight of 220 pounds?
a. w = -4m + 260
b. 10 months
(x+y)^4 I am trying to simplify this problem and am kinda confused by it
Answer:
This is already as simple as it will get. You could expand it though. In that case you'd get:
(x + y)⁴
= (x² + 2xy + y²)²
= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴
= x⁴ + 4x³y + 6x²y² +4xy³ + y⁴
But this doesn't simplify at all.
What is the solution to −9x−6≥−3(x−4) ?
The answer is
x ≤ -3
Help !!!
See question in image.
Please show workings .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) from first principles is
f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator
= lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero
f'(x) = 9x²
I was distracted
And in traffic
I didn't feel it
When the earthquake happened
But it really got me thinkin'
Were you out drinkin'?
Were you in the living room
Chillin' watchin' television?
It's been a year now
Think I've figured out how
How to let you go and let communication die out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling and I'd hold you tight
And there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
Right?
If the world was ending
You'd come over, right?
Right?
I tried to imagine
Your reaction
It didn't scare me when the earthquake happened
But it really got me thinkin'
That night we went drinkin'
Stumbled in the house
And didn't make it past the kitchen
Ah, it's been a year now
Think I've figured out how
How to think about you without it rippin' my heart out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I'd hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
If the world was ending
You'd come over, right?
Answer:
Yes
Step-by-step explanation:
Yes
What is the slope of y = -4x - 3
Answer:
-4
Step-by-step explanation:
Answer:s
slope of -4x-3: m=-4
find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2)
Answer:
2x^2yz + 3xy^3z - 3xyz^3
Step-by-step explanation:
First you must distribute:
xyz(2x) + xyz(3y^2) + xyz(-3z^2)
Then simplify:
2xyxx + 3xyzy^2 - 3xyz * z^2
And finally simplify each term:
2x^2yz + 3xy^3z - 3xyz^3
Nancy's cell phone company automatically deducts $30 from her bank
account every month to pay her bill.
Nancy does not add money to her bank account. What is the change in
Nancy's bank account after 6 months?
Answer:
5
Step-by-step explanation:
30/6=5
hey its me againnnnnnn i need some help here =v=
Answer:
Step-by-step explanation:
42 square units
can someone pls help me i need to know what is 2x - 1 = 7
Answer:
The solution for x would be 4.
Step-by-step explanation:
2x - 1 = 7
The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4
Please please help me!!!!
9514 1404 393
Answer:
yy+8y-2Step-by-step explanation:
We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...
volume = y(y² +6y -16)
Now, we're looking for factors of -16 that have a sum of +6.
-16 = (-1)(16 = (-2)(8) = (-4)(4)
The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...
volume = y(y -2)(y +8)
The possible dimensions are y-2, y, and y+8.
If x = 3 and y = 8 , evaluate the following expression: y − x
Answer:
5
Step-by-step explanation:
y-x
8-5 = 5
The value of the expression y - x is 5.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
y - x
The value of y - x when x = 3 and y = 8.
= y - x
= 8 - 3
= 5
Thus,
The value of the expression is 5.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Question is in picture below
[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]
You buy 11 bagels with a $20 bill. How much change do you receive?
well 6 bagels cost $7.50 and you bought 11 bagel with a $20 dollar bill
so answer that
Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.
Answer:
She can order 4 computer games.
Step-by-step explanation:
110-10=100
100÷25=4
pls help with thisss
Answer:
i will help plz put the question here copy it so i can help u
Step-by-step explanation:
Estimate 307% of 29.
Answer:
89.03
Step-by-step explanation:
29x3.07=89.03
17.URGENT
Can someone please help me?
Answer:
Answer choice D
Step-by-step explanation:
So we need to get r to the right side. First we can multiply by 3 to get rid of the fraction:
3V=4[tex]\pi[/tex][tex]r^{3}[/tex]
Then we can divide both sides by 4[tex]\pi[/tex] to get r by itself:
[tex]\frac{3V}{4\pi } = r^{3}[/tex]
Then cube both sides:
[tex]\sqrt[3]{\frac{3V}{4\pi } } =r\\[/tex]
Answer choice D
The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is
Answer:
The longest length of the similar triangle is 7 inches
Step-by-step explanation:
If two triangles are similar, the ratio of their sides are equal
We shall be working the shortest and longest side of both
What we have here will be that;
The shortest length/ the longest length ratio in both triangles will be the same
Let the longest side of the similar triangle be x
8/14 = 4/x
8x = 4 * 14
x = (4 * 14)/8
x = 7 inches
Please help I don’t know what the answer is
Answer:
its C
Step-by-step explanation:
which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?
-10
5
-5
0
Answer:
-10 is not a solution to the equation
Step-by-step explanation:
I don't really have an explanation
